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  Lefschetz theorems in flat cohomology and applications

Cotner, S., & Zavyalov, B. (2024). Lefschetz theorems in flat cohomology and applications. Compositio Mathematica, 160(8), 1850-1870. doi:10.1112/S0010437X24007231.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000F-C44E-D Version Permalink: https://hdl.handle.net/21.11116/0000-0010-38AD-D
Genre: Journal Article

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This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited. Compositio Mathematica is © Foundation Compositio Mathematica.
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https://doi.org/10.48550/arXiv.2204.06121 (Preprint)
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 Creators:
Cotner, Sean, Author
Zavyalov, Bogdan1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry
 Abstract: We prove a version of the Lefschetz hyperplane theorem for fppf cohomology with coefficients in any finite commutative group scheme over the ground field. As consequences, we establish new Lefschetz results for the Picard scheme.

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Language(s): eng - English
 Dates: 2024
 Publication Status: Issued
 Pages: 21
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 Rev. Type: Peer
 Identifiers: arXiv: 2204.06121
DOI: 10.1112/S0010437X24007231
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Title: Compositio Mathematica
Source Genre: Journal
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Publ. Info: Cambridge University Press
Pages: - Volume / Issue: 160 (8) Sequence Number: - Start / End Page: 1850 - 1870 Identifier: -